Test your understanding of linear programming with the following questions:
- What is linear programming?
- Name some practical applications of linear programming.
- What is the objective of linear programming?
- What are the constraints in linear programming?
- What is the difference between feasible and optimal solutions in linear programming?
Answers:
- Linear programming is a mathematical technique used to maximize or minimize a linear objective function, subject to a set of linear constraints.
- Linear programming has practical applications in fields such as economics, supply chain management, transportation, and energy production.
- The objective of linear programming is to find the values of decision variables that maximize or minimize the objective function, subject to the given constraints.
- Constraints in linear programming are the restrictions that limit the feasible solutions. They are represented by linear equations or inequalities.
- Feasible solutions are the set of values of decision variables that satisfies all the constraints. Optimal solution is the feasible solution that gives the best possible value for the objective function, either a maximum or a minimum.